We can solve for the critical density of the universe using the same method we used for finding the escape velocity. let's take an arbitrary point p in the universe, and consider a spherical shell of radius r0 around that point. according to hubble's law, an observer at point p will see a galaxy at point q on that spherical shell receding at velocity v=h0r0. what is the kinetic energy k of a galaxy of mass m at point q, relative to point p? express your answer in terms of h0, r0, and m. k =

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants

State the following: boyle's law and charle's law

Which is an example of an exothermic process?